The Red Devils are very eager to secure the left-footed center half for the coming years.
Per The Sun, United believe they will be able to negotiate a cut-price 40 million move.
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Everton are in financial trouble and need to sell players to avoid going into administration.
United see Branthwaite as the replacement in the squad for departing French star Raphael Varane.
They could make moves for other defenders if Jonny Evans, Harry Maguire or Victor Lindelof depart.